Quiz about Mastering Probability of Compound Events

Question 1

A coin is flipped and a six-sided die is rolled. What is the probability of flipping a heads and rolling a 4?

Accepted Answer

$$\frac{1}{12}$$

Answer

$$\frac{1}{6}$$

Answer

$$\frac{1}{3}$$

Answer

$$\frac{1}{2}$$

Question 2

Two six-sided dice are rolled. What is the probability of rolling a sum of 8?

Accepted Answer

$$\frac{5}{36}$$

Answer

$$\frac{1}{6}$$

Answer

$$\frac{1}{4}$$

Answer

$$\frac{1}{12}$$

Question 3

A bag contains 5 red marbles, 3 green marbles, and 2 blue marbles. If two marbles are drawn at random without replacement, what is the probability that both are green?

Accepted Answer

$$\frac{2}{15}$$

Answer

$$\frac{1}{30}$$

Answer

$$\frac{1}{10}$$

Answer

$$\frac{1}{4}$$

Question 4

What is the probability of drawing a heart from a standard deck of cards and then, without replacing the first card, drawing a spade?

Accepted Answer

$$\frac{13}{102}$$

Answer

$$\frac{1}{52}$$

Answer

$$\frac{1}{26}$$

Answer

$$\frac{1}{4}$$

Question 5

If a jar contains 4 blue, 5 red, and 6 green marbles, what is the probability of drawing a blue marble and then a green marble without replacement?

Accepted Answer

$$\frac{24}{91}$$

Answer

$$\frac{4}{15}$$

Answer

$$\frac{1}{3}$$

Answer

$$\frac{1}{2}$$

Question 6

A bag contains 8 red, 7 blue, and 5 green balls. Two balls are drawn at random. What is the probability that they are of different colors?

Accepted Answer

$$\frac{47}{95}$$

Answer

$$\frac{83}{95}$$

Answer

$$\frac{12}{19}$$

Answer

$$\frac{94}{190}$$

Question 7

You flip a coin three times. What is the probability of getting at least one head?

Accepted Answer

$$\frac{7}{8}$$

Answer

$$\frac{1}{8}$$

Answer

$$\frac{1}{2}$$

Answer

$$\frac{3}{4}$$

Question 8

A drawer contains 4 black socks, 5 white socks, and 3 grey socks. If two socks are drawn at random without looking, what is the probability that both are black?

Accepted Answer

$$\frac{6}{55}$$

Answer

$$\frac{2}{11}$$

Answer

$$\frac{1}{6}$$

Answer

$$\frac{1}{12}$$

Question 9

If a single six-sided die is rolled twice, what is the probability of rolling a 5 the first time and an even number the second time?

Accepted Answer

$$\frac{1}{12}$$

Answer

$$\frac{1}{18}$$

Answer

$$\frac{1}{6}$$

Answer

$$\frac{1}{36}$$

Question 10

A school has a club consisting of 10 boys and 15 girls. If two members are selected at random to lead a project, what is the probability that both leaders will be girls?

Accepted Answer

$$\frac{91}{190}$$

Answer

$$\frac{7}{24}$$

Answer

$$\frac{105}{190}$$

Answer

$$\frac{1}{2}$$

Mastering Probability of Compound Events

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